SOLUTION: Find all solutions to the equation below on the interval [0, 2π). Enter them from smallest to largest; enter DNE in any empty blank. cos (2x) + cos (x) = 2 Thank you

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Question 967392: Find all solutions to the equation below on the interval [0, 2π). Enter them from smallest to largest; enter DNE in any empty blank.
cos (2x) + cos (x) = 2
Thank you

Answer by t0hierry(194)   (Show Source): You can put this solution on YOUR website!
You know the highest value of cosine is 1
so if the sum of two cosine is 2
each must be 1
cos(xx) = 1
x = 2pi
x = 0

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